Family Math Bowl 9th Grade

Evaluate the following expression if x = 2, y = 3, and z = 4.

 $\frac{y+x}{y-x}+\frac{z+y}{z-y}+5yz^2-x^2$  

• 248

• 128

• 68

• 70

Tags

CCSS.6.EE.A.2C

Evaluate the following expression when
t = 6, x = 3, y = 4, and z = 5.

 $\left\{\left[\left(5y+6z\right)-3t\right]\div y\right\}^2+\left\{2t-\left[7z\div\left(y+x\right)\right]\right\}^2$  

• 113

• 15

• 30

• 81

Tags

CCSS.6.EE.A.2C

A ribbon 90 feet long is cut into two pieces. One piece is 12 feet longer than the other. What is the length of the shorter piece?

• 39 feet

• 51 feet

• 40 feet

• 45 feet

A triangle has two equal sides and a third one that is 15 cm longer than the others. If the perimeter of the triangle is 90 cm, how long is each of the two equal sides?

• 25 cm

• 40 cm

• 35 cm

• 30 cm

Tags

CCSS.3.MD.D.8

Simplify the following expression.

 $9\left[7\left(3a+2b-4\right)+12\left(a-2\right)\right]+3\left(5a-8b\right)$  

• 312a  + 102b - 468
  

• 312a  - 102b - 468

• 312a  + 102b + 468

• 312a  - 102b + 468

Tags

CCSS.6.EE.A.3

Find the product.

 $\left(\frac{3x}{2y}\right)\left(-\frac{4}{5}\right)\left(\frac{6}{7}\right)\left(\frac{14x}{9y}\right)\left(-\frac{5y}{4x}\right)$  

•  $\frac{2x}{y}$  

•  $\frac{2x^2}{y}$  

•  $-\frac{2x}{y}$  

•  $\frac{2x}{y^2}$  

Tags

CCSS.HSA.APR.D.7

Solve the following equation.

 $7n+2\left[3\left(1-n\right)-2\left(1+n\right)\right]=14$  

• - 4
  

• 4

• -36

• 15

Tags

CCSS.8.EE.C.7B

Solve the following equation.

 $5\left(2m+3\right)-\left(1-2m\right)=2\left[3\left(3+2m\right)-\left(3-m\right)\right]$  

• 1

•  $\frac{1}{3}$  

• - 1
  

• 3

Tags

CCSS.8.EE.C.7B

Evaluate if a = 3 and b = - 2 .

 $\frac{a^3+2b^3}{a+2b}-\frac{a^4+b^4}{a+b}$  

• - 108
  

• 86

• 108

• - 86
  

Tags

CCSS.6.EE.A.2C

Simplify the given expression.

 $2^{\left(x-1\right)}\cdot2^{\left(x+4\right)}\cdot2^{\left(4-x\right)}$  

•  $2^{\left(7-x\right)}$  

•  $2^{\left(x-7\right)}$  

•  $2^{\left(7+x\right)}$  

•  $2^{7x}$